Question

There are 8 people fishing at Lake Connor: 4 have fishing licenses, and 4 do not. An inspector chooses two of the people at random. What is the probability that the first person chosen has a license and the second one does not? Write your answer as a fraction in simplest form.

Answer 1

8 total people, 4 with licenses and 4 without.

"probability that the first person chosen has a license" ---> (number of people with licenses/total # of people)

"and the second one does not" ---> (number of people without licenses/total # of people) *** important *** for the second choice, subtract the first licensed person away from the total

multiply the two probabilities, convert to a fraction in simplest form